基于网络丢包的混沌系统脉冲控制同步

Synchronization of Impulsive Control for Chaotic System Based on Networked Packet Dropout

针对混沌Chen系统,设计了考虑具有数据丢包的网络脉冲控制器,实现了混沌chen系统的同步。首先考虑一般非线性网络脉冲控制系统,应用Lyapunov稳定性理论,网络控制分析方法以及脉冲控制理论,考虑当网络中存在数据随机丢包情况下,分别讨论当系统在连续过程和脉冲发生时刻系统满足渐近稳定的条件,得到了该非线性脉冲系统渐近稳定的充分条件。然后针对混沌chen系统,应用该充分条件,得到混沌chen系统渐近稳定的相应条件。进一步考虑基于网络控制实现混沌chen系统的同步问题,应用该定理将其归结为通过设计网络脉冲控制器使得相应的误差系统渐近稳定。最后,利用matlab软件对上述非线性混沌chen系统进行数值仿真,得到了混沌chen系统的状态响应曲线和同步系统误差状态响应曲线,仿真结果验证了算法的正确性和有效性。

The problems of networked impulsive controller designing for packet dropout is considered for chaos Chen system.First,a sufficient condition for nonlinear networked impulsive control system is obtained in continuous time and impulse happening instant applying Lyapunov theory,networked control method and impulsive control theorem.Then applying the sufficient theorem,the asymptotically stable sufficient condition for chaos Chen system is derived.Also,the problem of Synchronization of chaos Chen system is discussed.Using the theorem,the error system is asymptotically stable based on networked impulsive controller.Finally,the MATLAB simulation results show the correctness and effectiveness of the approach proposed in this paper.